You can't restart numbering in Word based on a specific style, unless
that style is linked to some level in a list template, in which case
it can be set to restart lower levels of the same list template.
However, you might be able to use the LISTNUM restart method described
by Margaret Aldis to restart numbering of the Checklist styles. It
is based on the idea that you restart numbering at the end of each
list. For a detailed description, please see:
http://www.syntagma.demon.co.uk/FAQs/ListRestartByLISTNUM.htm
How useful the method is for you depends on how easily the end of each
list can be identified, which, in turn, depends on how far apart the
list items are, and how much they are moved around.

Signature
Stefan Blom
> Is it possible to force a list template to automatically
> restart...
[quoted text clipped - 39 lines]
> solution but I will entertain all suggestions. The
> priority is that it be stable and predictable.